- (a) (i) In the Bohr model for the hydrogen atom orbital angular momentum is quantized (mvr = nh / 2π). Outline the effect this has on the electron energy. [2]
(ii) For the hydrogen atom, the orbit radius of the electron in the n = 2 state is four times larger than the orbit radius in the n = 1 state. Determine the ratio v₂/v₁ of the electron speed in the n = 2 state to the speed in the n = 1 state. [1]
(b) Compare and contrast the Bohr prediction for the radius of an electron orbit in hydrogen to that of the description of the electron in terms of a wave function. [3]
(c) Determine, using the uncertainty principle, the minimum kinetic energy of a neutron inside a nucleus of radius 3 × 10⁻¹⁵ m. [2]